What is the Least Common Multiple of 58826 and 58831?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 58826 and 58831 is 3460792406.
LCM(58826,58831) = 3460792406
Least Common Multiple of 58826 and 58831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58826 and 58831, than apply into the LCM equation.
GCF(58826,58831) = 1
LCM(58826,58831) = ( 58826 × 58831) / 1
LCM(58826,58831) = 3460792406 / 1
LCM(58826,58831) = 3460792406
Least Common Multiple (LCM) of 58826 and 58831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58826 and 58831. First we will calculate the prime factors of 58826 and 58831.
Prime Factorization of 58826
Prime factors of 58826 are 2, 67, 439. Prime factorization of 58826 in exponential form is:
58826 = 21 × 671 × 4391
Prime Factorization of 58831
Prime factors of 58831 are 58831. Prime factorization of 58831 in exponential form is:
58831 = 588311
Now multiplying the highest exponent prime factors to calculate the LCM of 58826 and 58831.
LCM(58826,58831) = 21 × 671 × 4391 × 588311
LCM(58826,58831) = 3460792406
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